The function y = arcsin(x) have a domain of [-1,1] (these are the values that x can assume) and a range of [-pi/2,pi/2]. We can see this better on the trigonometric circle:
Thus the statement is True!
When the tax rate does not change with respect to the amount of income, it is a flat tax.
O True
O False
Answer:
False
Because it is called Proportional Tax
The fixed-rate doesn't increase or decrease as income rises or falls. An individual who earns $25,000 annually would pay $1,250 at a 5% rate, whereas someone who earns $250,000 each year would pay pays $12,500 at that same rate
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Every morning before going to class, Knut takes a shower, checks his email, does 100 pushups, and makes a milk, egg, and tuna smoothie.
Knut always takes his shower last. How many different ways are there for him to order the different steps of his morning routine?
Answer:
Step-by-step explanation:
The number of different ways there for him to order the different steps of his morning routine will be 5040.
What is a combination?The arrangement of the different things or numbers in a number of ways is called the combination.
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
It is given that every morning before going to class, Knut takes a shower, checks his email, does 100 pushups, and makes a milk, egg, and tuna smoothie. Knut always takes his shower last.
The arrangement will be calculated as below:-
The number of the activities is 7.
The number of ways = 7!
The number of ways = ( 7x 6 x 5 x 4 x 3 x 2 )
The number of ways = ( 5040 ).
Therefore, the number of different ways there for him to order the different steps of his morning routine will be 5040.
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An individual who has automobile insurance from a certain company is randomly selected. Let X be the number of moving violations for which the individual was cited during the last 3 years. The probability mass function of X is given below as; Number of moving violations (X) 0 1 2 3 4 P(X) 0.17 0.23 0.27 0.24 0.09 What is the cumulative distribution function
Answer:
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
F(x) 0.17 0.04 0.65 0.91 1
Step-by-step explanation:
Given that;
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
cumulative distribution function can be calculated by; be cumulatively up the value of p(x) with the values before it;
so
x F(x)
0 P(X = 0) = 0.17
1 P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4
2 P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65
3 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91
4 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1
Therefore, cumulative distribution function f(x) is;
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
F(x) 0.17 0.04 0.65 0.91 1
which value of y makes the inequality 3y^2+2(y-5)>8 true?
A. y = 0
B. y = –1
C. y = –2
D. y = –3
Simplify the polynomial, then evaluate for x = 2.
x+3x²+2x-3-4x²+6
x² + 3x + 9; 19
x² + 3x + 3; 5
-x² + 3x + 9; 11
O
O
-x² + 3x + 3; 13
Answer:
x^2 + 3x + 9 = (x + 3)(x + 3)
When x = 2, we have:
(2 + 3) * (2 + 3)
5 * 5
25
13. Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?
14. To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?
15. A suitcase measures 24 inches long and the diagonal is 30 inches long.
How much material is needed to cover one side of the suitcase?
The solution is : 22 meters would be saved if it were possible to walk through the pond.
Here, we have,
There is a pond between two points A and B.
To avoid the pond, one must walk to the south from point A to point C (say) by 34 meters and then to the east from point C to point B by 41 meters.
Now, it is clear that Δ ABC is a right triangle with AB as the hypotenuse that is the minimum distance from A to B through the pond.
The two legs of the right triangle are AC and CB.
Applying Pythagoras Theorem,
AB² = AC² + CB²
= 34² + 41²
= 2837
⇒ AB = 53 meters (Rounded to the nearest meter)
Therefore, (34 + 41) - 53 = 22 meters will be saved if it were possible to walk through the pond.
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complete question:
To get from point A to point B you must avoid walking through a pond. To
avoid the pond, you must walk 34 meters south and 41 meters east. To the
nearest meter, how many meters would be saved if it were possible to walk
through the pond?
Find the product. 8 4²/7 × ₁5 15
Answer: 519 120
Step-by-step explanation:
84*84=7056
7056/7=1008
1008*515=519 120
The spinner shown is spun twice. Express your answer
as a simplified fraction.
7. Find P(the two numbers have an even sum).
8. Find P(two even numbers).
7) The probability that the two numbers have an even sum is: 0.5
8) The probability that the two are even is: 0.25
How to find the probability in a spinner?7) We want to find the probability that the two numbers have an even sum.
The only combinations that produces an even sum are:
(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)
The other combinations of numbers are:
(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)
Thus, we have a total of 16 combinations and the probability that the two numbers have an even sum is:
P(two numbers with even sum) = 8/16 = 0.5
8) The probability that the two are even is:
4/16 = 1/4
= 0.25
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14. At the library, Herb spent 1/6 hour looking for a book, 1/4 hour reading, and 1/2 hour doing research on the computer. How many
hours did Herb spend at the library?
HURRY AND ANSWER AS FAST AS YOU CAN!!! PLEASE I NEED THESE BY TODAY The length of a rectangle is (2x - 7)inches and the width is (x2 - 5) inches. Find an expression for the perimeter of the rectangle. A) 2x3 + 35B) x2 - 2x + 2X) x2 + 2x - 12 D) 2 x 2 + 4x -24 The sum of −15x2 −5x + 11 and another polynomial expression is −9x2 + 3x −10. What is the other polynomial expression? A) 24x2 + 8x − 8 B) 6x2 + 8x − 21 C) − 24x2 + 8x + 8 D) − 24x2 + 8x − 8
Answer:
Q1.
Perimeter = 2(Length + Width)
Perimeter = \(2((2x-7)+(x^2-5))\)
\(2\left(2x-7\right)+2\left(x^2-5\right)\)
\(4x-14+2x^2-10\)
\(2x^2+4x-24\)
Q2.
\((-9x^2+3x-10)-(-15x^2-5x+11)\)
\(-9x^2+3x-10+15x^2+5x-11\)
\(6x^2+8x-21\)
On holidays three friends decided to buy a Christmas tree for $96. They made a cash contribution of 3: 5: 8. The two friends who invested less decided to return the third friend's money so that their cash contributions became the same. What is the ratio of the money returned by the first person to the money returned by the second person?
Answer:
7 : 1Step-by-step explanation:
Total money = $96Contribution ratio = 3 : 5 : 8Contribution by each:
3x + 5x + 8x = 9616x = 96x = 63x → $18, 5x → $30, 8x → $48Equal contribution is:
$96/3= $32Returned by first and second person:
$32 - $18 = $14$32 - $30 = $2Ratio of returned amount:
14 : 2 = 7 : 1Function A is represented by the equation y = 4X + 6 what is the rate of change
\(2\frac{2}{5}\)
A fraction is a way to describe a part of a whole. The decimal form of 2 2/5 is 2.4.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The decimal form of 2 2/5 can be written as,
2 2/5 = 2 + 2/5 = 2 + 0.4 = 2.4
Hence, the decimal form of 2 2/5 is 2.4.
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−3⋅f(−8)+7⋅g(2)=
What is the answer ASAP
Help picture below problem 8
Answer:
C. never
Step-by-step explanation:
A trapezoid has exactly one pair of opposite sides parallel.
A parallelogram has exactly two pairs of opposite sides parallel.
A trapezoid is never a parallelogram.
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
1.5 > x > 4
1.5 < x < 4
1.5 ≤ x ≤ 4
1.5 ≥ x ≥ 4
The normal range using a compound inequality is 1.5 < x < 4
How to model the normal range using a compound inequality.From the question, we have the following parameters that can be used in our computation:
pH values less than 4
pH values greater than 1.5
Represent the pH values with x
Using the above as a guide, we have the following:
x is less than 4
x is greater than 1.5
When represented as inequality, we have
x < 4 and x > 1.5
Combine the inequalities
1.5 < x < 4
Hence, the normal range is 1.5 < x < 4
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Two bottles of water and an order of cheese nachos costs $5.50. Three bottles of water and two orders of cheese nachos costs $9.50.
Answer:
1.50 waters 2.80 nachos hope this helps :)
Step-by-step explanation:
1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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please help me
NO LINKS!!
Answer:
D
Step-by-step explanation:
π/3
Coterminal angle:-
π+π/34π/3Or
π-π/3=2π/3Option D
A fair Octahedral (eight-sided) die has the
following numbers on te's aces 2,3,1,2,13,11.
each time the die is thrown the score is the
humber on the top face if the die is thrown.
a Once, what is the probability that the scorce is
not 3
b twice, find the probability of scoring a sum
twice, find the probability of Scoring a sum
of 5
Answer:
30%
Step-by-step explanation:
Your chance of scoring a 5 is 30%
PLEASE ANSWER NOW I NEED THIS ASAP FOR 100 POINTS!!!!
\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.
The given fraction is \(1\frac{3}{4}\).
\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.
Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.
Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.
Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.
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Step-by-step explanation:
1ft=12in
1¾ft=x
x=12×7/4=21in
1¾ft=1¾×1 ft
Approximately 1.65 million high school students take the Scholastic Aptitude Test (SAT) each year and nearly 80% of the college and universities without open admissions policies use SAT scores in making admission decisions (College Board, March 2009). The current version of the SAT includes three parts: reading comprehension, mathematics, and writing. A perfect combined score for all three parts is 2400. A sample of SAT scores for the combined three-part SAT are as follows:
1665 1275 1650 1590 1475 1490
1525 2135 1560 1880 1680 1560
1355 1280 1150 1420 14409 4016
4510 6014 8517 5512 6013 9017
8015 8519 901 3751 7301 1755
Required:
a. Show a frequency distribution and histogram. Begin with the first class starting at 800 and use a class width of 200.
b. Comment on the shape of the distribution.
c. What other observations can be made about the SAT scores based on the tabular and graphical summaries?
Answer:
Step-by-step explanation:
Hello!
The sample shows the scores for the combined three-part SAT.
Raw data in first attachment.
a.
To arrange the data in a frequency table using class intervals you have to determine the number of intervals you want to use and calculate their width. In this case, the width is given and so is the lower limit of the first interval, you calculate the successive limits by adding the width. The lower limit of the next interval will be the upper limit of the previous one:
1) 800 + 200= 100
First interval [800; 1000)
2) 1000 + 200
Second interval
[1000; 1200)
And so on until you reach the maximum value of the data set,
[1200; 1400)
[1400; 1600)
[1600; 1800)
[1800; 2000)
[2000; 2200)
Then you have to order the data from least to greatest and count how many observations correspond to each value, this way you'll determine the observed frequency for each interval.
Table and histogram in second attachment.
b.
As you can see in the histogram, this distribution is symmetrical centered in the interval [1400; 1600) and there are no outliers observed.
c.
Values around 1400-1600 are the most common ones while scores around 800-1000 or 2000-2200 are more uncommon, in this sample it seems the probability to obtain a perfect score for the combined three-part SAT is extremely low.
I hope you have a nice day!
What is the exact distance from (−1, 4) to (6, −2)? square root of 80. units square root of 82. units square root of 85. units square root of 89. units
Answer:
\(\sqrt{85}\).
Step-by-step explanation:
\(x\)-coordinates:
First point: \(-1\).Second point: \(6\).Difference: \(|-1 - 6| = |-7| = 7\).\(y\)-coordinates:
First point: \(4\).Second point: \(-2\).Difference: \(|4 - (-2)| = |6| = 6\).Refer to the diagram attached. Consider these two points as the two end points of the hypotenuse of a right triangle. The lengths of the two legs are equal to:
the difference between the two \(x\)-coordinates, \(7\), and the difference between the two \(y\)-coordinates, \(6\).Apply Pythagorean Theorem to find the length of the hypotenuse (which is equal to the distance between the two points in question.)
\(\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{First Leg})^2 + (\text{Second Leg})^2} \\ &= \sqrt{7^2 + 6^2} \\ &= \sqrt{85}\end{aligned}\).
Answer:
C
Step-by-step explanation:
PLS ANSWERR!! I need help
Answer:
2 4 5
Step-by-step explanation:
best gusss.
Solve four-tenths plus four ninths
Answer:
\(\frac{38}{45}\)
Step-by-step explanation:
\(\frac{4}{10} +\frac{4}{9}\)
So first you need to have a common denominator (the number on the bottom)
The least common denominator (LCD) would be 90.
So then the fractions would be: \(\frac{36}{90} +\frac{40}{90}\).
Add.
You get: \(\frac{76}{90}\)
Simplify and the answer is \(\frac{38}{45}\)
What is the gum of 70 and 50
Answer:
120 ? what this supposed to be about ? is it to estimate or subtract? does this have mutiple choices? and what gum are their referring too ? the gum you chew or in your teeth?
when y =10, what is the value of 5y -52
Answer:
-2
Step-by-step explanation:
y = 10
Find the value of 5y - 52
Substitution would be used here so:
5(10) - 52 -------- [5(10) baiscally means 5 x 10]
= 50 -52
= -2
I hope this helps!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)
When y=10, what is the value of 5y-52?
\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)
First, write 10 in lieu of y and then simplify:-
5(10)-52
On simplification,
50-52
And finally,
-2
So we conclude that the value of the expression 5y-52 when y=10 is -2.
Good luck.
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A sail is in the shape of a right triangle. The area of the sail is 52 fr if the height is 5 feet greater than the base, find the base.
Since the triangle is a right triangle we can draw the triangle like so, calling x the distance corresponding to the base of the triangle and x+5 the height oh the triangle.
now use the formula of the area
\(A=\frac{bh}{2}\)we now the area and the corresponding variables for the base and height, replace them on the formula
\(52=\frac{x\cdot(x+5)}{2}\)clear for the x
\(104=x^2+5x\)equal the equation to 0 and solve the quadratic equation or by factorization
\(x^2+5x-104=0\)\((x-8)\cdot(x+13)=0\)by factorization we know that roots are x=-13 and x=8, since we are talking about a distance the base of the triangle must be 8 ft.
check the answer with the formula of the area
\(\begin{gathered} A=\frac{bh}{2} \\ A=\frac{8\cdot(8+5)}{2} \\ A=\frac{8\cdot13}{2} \\ A=52 \\ 52=52 \end{gathered}\)The procedure is correct, the base of the triangle is 8 ft and the height is 13 ft.